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3012323100 = 2235273263523
BaseRepresentation
bin1011001110001100…
…0110011100011100
321202221012212110020
42303203012130130
522132123314400
61214524312140
7134435216043
oct26343063434
97687185406
103012323100
111306417a26
127009a2650
1339010a607
142080d355a
151296ca2a0
hexb38c671c

3012323100 has 144 divisors (see below), whose sum is σ = 8885597952. Its totient is φ = 787760640.

The previous prime is 3012323077. The next prime is 3012323101. The reversal of 3012323100 is 13232103.

3012323100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30123231002 = 18148180917587220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3012323100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012323101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5759439 + ... + 5759961.

Almost surely, 23012323100 is an apocalyptic number.

3012323100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442798976).

3012323100 is an abundant number, since it is smaller than the sum of its proper divisors (5873274852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3012323100 is a wasteful number, since it uses less digits than its factorization.

3012323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3012323100 is about 54884.6344617508. The cubic root of 3012323100 is about 1444.2216487183.

Adding to 3012323100 its reverse (13232103), we get a palindrome (3025555203).

It can be divided in two parts, 30 and 12323100, that added together give a triangular number (12323130 = T4964).

The spelling of 3012323100 in words is "three billion, twelve million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 263 292 300 365 438 523 526 730 789 876 1046 1052 1095 1315 1460 1569 1578 1825 2092 2190 2615 2630 3138 3156 3650 3945 4380 5230 5260 5475 6276 6575 7300 7845 7890 10460 10950 13075 13150 15690 15780 19199 19725 21900 26150 26300 31380 38179 38398 39225 39450 52300 57597 76358 76796 78450 78900 95995 114537 115194 137549 152716 156900 190895 191990 229074 230388 275098 287985 381790 383980 412647 458148 479975 550196 572685 575970 687745 763580 825294 954475 959950 1145370 1151940 1375490 1439925 1650588 1908950 1919900 2063235 2290740 2750980 2863425 2879850 3438725 3817900 4126470 5726850 5759700 6877450 8252940 10041077 10316175 11453700 13754900 20082154 20632350 30123231 40164308 41264700 50205385 60246462 100410770 120492924 150616155 200821540 251026925 301232310 502053850 602464620 753080775 1004107700 1506161550 3012323100